An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 3.83 times Earth's. What is the asteroid's orbital period T , its "year," in terms of Earth years

About 7.5 years

Explanation:

The orbital period is proportional to the semimajor axis raised to the power of 3/2.

The orbital period is also inversely proportional to the square root of the sum of the masses of the sun and the asteroid; however, the sun's mass is a constant and the asteroid's mass is negligible in comparison with the sun's mass.